Published April 15, 1986 | Version v1
Journal article Metadata-only

Gaussian effective potential. III. phi6 theory and bound states

Creators

  • 1. T. W. Bonner Laboratories, Physics Department, Rice University, Houston, Texas 77251

Description

Scalar theories with a lambdaphi4+xiphi6 interaction are studied in 1+1 and 2+1 dimensions using the Gaussian-effective-potential method. Restrictions on the range of parameters are derived. In particular, the (2+1)-dimensional theory is unstable if the phi6 coupling exceeds a critical value xi/sub c/ = 0.255. For certain ranges of parameters the approximation indicates the existence of a two-particle bound state, and yields expressions for its mass and wave function

Additional details

Publishing Information

Journal Title
Phys. Rev., D
Journal Volume
33
Journal Issue
8
Series
Phys. Rev., D.
Journal Page Range
2305-2315
ISSN
0556-2821
CODEN
PRVDA

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
17066026
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANHARMONIC OSCILLATORS; BOUND STATE; EFFECTIVE RANGE THEORY; GAUSSIAN PROCESSES; HAMILTONIANS; MATRIX ELEMENTS; QUANTUM FIELD THEORY; RENORMALIZATION; STRONG-COUPLING MODEL; WAVE FUNCTIONS
Descriptors DEC
FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTICLE MODELS; QUANTUM OPERATORS